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Finding the Fourth Proportional to 399,976.50, 551,968.56 and 218,700.14

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Solution

The fourth proportional to 399,976.50, 551,968.56 and 218,700.14 is: 301,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,976.50 : 551,968.56 = 218,700.14 : x
  2. Step 2: Convert to fraction form
    399,976.50/551,968.56 = 218,700.14/x
  3. Step 3: Cross multiply
    399,976.50x = 551,968.56 × 218,700.14
  4. Step 4: Simplify right side
    399,976.50x = 120,715,601,347.60
  5. Step 5: Solve for x
    x = 120,715,601,347.60/399,976.50
  6. Step 6: Final answer
    x = 301,806.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.